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5r-9/r-9=8r-5/r-5
We move all terms to the left:
5r-9/r-9-(8r-5/r-5)=0
Domain of the equation: r!=0
r∈R
Domain of the equation: r-5)!=0We get rid of parentheses
r∈R
5r-9/r-8r+5/r+5-9=0
We multiply all the terms by the denominator
5r*r-8r*r+5*r-9*r-9+5=0
We add all the numbers together, and all the variables
-4r+5r*r-8r*r-4=0
Wy multiply elements
5r^2-8r^2-4r-4=0
We add all the numbers together, and all the variables
-3r^2-4r-4=0
a = -3; b = -4; c = -4;
Δ = b2-4ac
Δ = -42-4·(-3)·(-4)
Δ = -32
Delta is less than zero, so there is no solution for the equation
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